This lesson on continuity covers the definition of continuity at a point, left and right continuity, and continuity on an interval for polynomials, rational functions, and trigonometric functions. The lesson also covers different types of discontinuities, such as jump, infinite, and removable discontinuities. The properties of continuous functions are also discussed, along with compositions of functions and one-sided continuity. The intermediate value theorem and its corollary for finding zeros of functions are briefly mentioned as consequences of continuity.
Definition of continuity at a point. Continuity of polynomials, rational functions, and trigonometric functions. Left and right continuity. Continuity on an interval.
Copyright 2005, Department of Mathematics, University of Houston. Created by Selwyn Hollis. Find more information on videos, resources, and lessons at http://online.math.uh.edu/HoustonACT/videocalculus/index.html.